https://file.aiquickdraw.com/mathbot/file/17274082737843ghb6tl3.jpg

The question on the screen is asking for the reflection of the function \( f(x) = 2x - 5 \) with respect to the y-axis. Let's find the equation of the reflection.

### Reflection Across the Y-Axis:
For a function \( f(x) \), the reflection across the y-axis is given by replacing \( x \) with \( -x \). So, if we have:

\[
f(x) = 2x - 5
\]

The reflected function is:

\[
f(-x) = 2(-x) - 5 = -2x - 5
\]

So, the equation of the reflected function across the y-axis is:

\[
f(-x) = -2x - 5
\]

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How do we reflect a function over the x-axis?
2. What is the general rule for reflecting a function over the line \( y = x \)?
3. How does the graph of a linear function change when reflected over the y-axis?
4. Can we reflect quadratic functions over the y-axis the same way as linear functions?
5. What are some real-life applications of reflecting functions?

**Tip:** When reflecting functions, always remember to replace \( x \) with \( -x \) for reflections over the y-axis and \( y \) with \( -y \) for reflections over the x-axis.

Persamaan hasil refleksi terhadap sumbu y dari fungsi f(x) = 2x - 5

Learn how to reflect the linear function f(x) = 2x - 5 across the y-axis. This example covers reflections in coordinate geometry, essential for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation